It looks like there is a typo in your expression. I assume you meant to write something like:

\[
(x + \sqrt{2})^2 - 8
\]

If that's correct, let's expand and simplify this expression.

1. Expand \( (x + \sqrt{2})^2 \):
   \[
   (x + \sqrt{2})^2 = x^2 + 2\cdot x\cdot \sqrt{2} + (\sqrt{2})^2
   = x^2 + 2\sqrt{2}x + 2
   \]

2. Subtract 8 from the result:
   \[
  

Learn how to expand and simplify the expression (x + √2)² - 8 with a detailed step-by-step solution. This problem covers algebraic concepts such as binomial expansion, radicals, and simplification. Suitable for students in Grades 9-10.

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